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Sandals
v0.0.0
A C++ library for ODEs/DAEs integration
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Butcher tableau for the 3-stage diagonally-implicit strong-stability preserving Runge-Kuttax order 3 method. More...
#include <SSPIRK33.hh>
Inherits Sandals::Tableau< Real, 3 >.
Public Member Functions | |
| SSPIRK33Tableau () | |
| Public Member Functions inherited from Sandals::Tableau< Real, 3 > | |
| bool | check (bool verbose=false) const |
Additional Inherited Members | |
| Public Types inherited from Sandals::Tableau< Real, 3 > | |
| using | Type |
| using | Vector |
| using | Matrix |
| Public Attributes inherited from Sandals::Tableau< Real, 3 > | |
| const Real | SQRT_EPSILON |
| std::string | name |
| Type | type |
| Integer | order |
| Integer | order_e |
| Matrix | A |
| Vector | b |
| Vector | b_e |
| Vector | c |
| bool | is_embedded |
Butcher tableau for the 3-stage diagonally-implicit strong-stability preserving Runge-Kutta order 3 method:
\[\begin{array}{c|ccc} \frac{1}{2}-\frac{\sqrt{2}}{4} & \frac{1}{2}-\frac{\sqrt{2}}{4} & 0 & 0 \\ \frac{1}{2} & \frac{\sqrt{2}}{4} & \frac{1}{2}-\frac{\sqrt{2}}{4} & 0 \\ \frac{1}{2}+\frac{\sqrt{2}}{4} & \frac{\sqrt{2}}{4} & \frac{\sqrt{2}}{4} & \frac{1}{2}-\frac{\sqrt{2}}{4} \\ \hline & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \end{array} \text{.} \]
| Real | The scalar number type. |
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inline |
Class constructor for the 3-stage diagonally-implicit strong-stability preserving Runge-Kutta order 3 method.